Find the Equation of the Ellipse with Center At $( 8,9 )$

question 23

Multiple Choice

Find the equation of the ellipse with center at $( 8,9 )$ , vertex at $( 16,9 )$ , and passing through the intersection of $y = - 2 x + 32$ and $y = x + 8$ .

• A) \(\quad \frac { ( x - 8 ) ^ { 2 } } { 8 } + \frac { ( y - 9 ) ^ { 2 } } { 7 } = 1\)
• B) \(\quad \frac { ( x - 8 ) ^ { 2 } } { 64 } + \frac { ( y - 9 ) ^ { 2 } } { 49 } = 1\)
• C) \(\quad \frac { ( x - 8 ) ^ { 2 } } { 49 } + \frac { ( y - 9 ) ^ { 2 } } { 49 } = 1\)
• D) \(\quad \frac { ( x - 8 ) ^ { 2 } } { 81 } + \frac { ( y - 9 ) ^ { 2 } } { 64 } = 1\)
• E)
• \[\frac { ( x - 8 ) ^ { 2 } } { 49 } + \frac { ( y - 9 ) ^ { 2 } } { 64 } = 1\]

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